{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b8bb2bf1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ff209829",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x218b90d6f08>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([0,2],[1,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "8187454c",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "4e238567",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=[1,2,3,4,5]\n",
    "squares=[2,4,6,7,8]\n",
    "plt.plot(x,squares)\n",
    "\n",
    "plt.title(\"数字\",fontsize=20)\n",
    "plt.xlabel(\"datas\",fontsize=14)\n",
    "plt.ylabel(\"squares\",fontsize=14)\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "446c427e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 4, 9, 16, 25]"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=[1,2,3,4,5]\n",
    "y=[i*i for i in x]\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "efbea611",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y,linewidth=5)\n",
    "plt.savefig(\"result.jpg\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "19417af0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=np.linspace(0,10,100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "2ddac077",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.10083842,  0.20064886,  0.2984138 ,  0.39313661,\n",
       "        0.48385164,  0.56963411,  0.64960951,  0.72296256,  0.78894546,\n",
       "        0.84688556,  0.8961922 ,  0.93636273,  0.96698762,  0.98775469,\n",
       "        0.99845223,  0.99897117,  0.98930624,  0.96955595,  0.93992165,\n",
       "        0.90070545,  0.85230712,  0.79522006,  0.73002623,  0.65739025,\n",
       "        0.57805259,  0.49282204,  0.40256749,  0.30820902,  0.21070855,\n",
       "        0.11106004,  0.01027934, -0.09060615, -0.19056796, -0.28858706,\n",
       "       -0.38366419, -0.47483011, -0.56115544, -0.64176014, -0.7158225 ,\n",
       "       -0.7825875 , -0.84137452, -0.89158426, -0.93270486, -0.96431712,\n",
       "       -0.98609877, -0.99782778, -0.99938456, -0.99075324, -0.97202182,\n",
       "       -0.94338126, -0.90512352, -0.85763861, -0.80141062, -0.73701276,\n",
       "       -0.66510151, -0.58640998, -0.50174037, -0.41195583, -0.31797166,\n",
       "       -0.22074597, -0.12126992, -0.0205576 ,  0.0803643 ,  0.18046693,\n",
       "        0.27872982,  0.37415123,  0.46575841,  0.55261747,  0.63384295,\n",
       "        0.7086068 ,  0.77614685,  0.83577457,  0.8868821 ,  0.92894843,\n",
       "        0.96154471,  0.98433866,  0.99709789,  0.99969234,  0.99209556,\n",
       "        0.97438499,  0.94674118,  0.90944594,  0.86287948,  0.8075165 ,\n",
       "        0.74392141,  0.6727425 ,  0.59470541,  0.51060568,  0.42130064,\n",
       "        0.32770071,  0.23076008,  0.13146699,  0.03083368, -0.07011396,\n",
       "       -0.17034683, -0.26884313, -0.36459873, -0.45663749, -0.54402111])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y1=np.sin(x)\n",
    "y1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "64960083",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        ,  0.99490282,  0.97966323,  0.95443659,  0.91948007,\n",
       "        0.87515004,  0.8218984 ,  0.76026803,  0.69088721,  0.61446323,\n",
       "        0.53177518,  0.44366602,  0.35103397,  0.25482335,  0.15601496,\n",
       "        0.0556161 , -0.04534973, -0.14585325, -0.24486989, -0.34139023,\n",
       "       -0.43443032, -0.52304166, -0.60632092, -0.68341913, -0.75355031,\n",
       "       -0.81599952, -0.87013012, -0.91539031, -0.95131866, -0.97754893,\n",
       "       -0.9938137 , -0.99994717, -0.9958868 , -0.981674  , -0.95745366,\n",
       "       -0.92347268, -0.88007748, -0.82771044, -0.76690542, -0.69828229,\n",
       "       -0.6225406 , -0.54045251, -0.45285485, -0.36064061, -0.26474988,\n",
       "       -0.16616018, -0.06587659,  0.03507857,  0.13567613,  0.23489055,\n",
       "        0.33171042,  0.4251487 ,  0.51425287,  0.59811455,  0.67587883,\n",
       "        0.74675295,  0.8100144 ,  0.86501827,  0.91120382,  0.94810022,\n",
       "        0.97533134,  0.99261957,  0.99978867,  0.99676556,  0.98358105,\n",
       "        0.96036956,  0.9273677 ,  0.88491192,  0.83343502,  0.77346177,\n",
       "        0.70560358,  0.63055219,  0.54907273,  0.46199582,  0.37020915,\n",
       "        0.27464844,  0.17628785,  0.07613012, -0.0248037 , -0.12548467,\n",
       "       -0.2248864 , -0.32199555, -0.41582217, -0.50540974, -0.58984498,\n",
       "       -0.66826712, -0.7398767 , -0.8039437 , -0.859815  , -0.90692104,\n",
       "       -0.94478159, -0.97301068, -0.99132055, -0.99952453, -0.99753899,\n",
       "       -0.98538417, -0.96318398, -0.93116473, -0.88965286, -0.83907153])"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y2=np.cos(x)\n",
    "y2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "8c3950cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1600x1280 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y1)\n",
    "plt.plot(x,y2)\n",
    "plt.title(\"sin and cos\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "plt.figure('sin and cos',figsize=(20,16),dpi=80)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "ebe156b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y1)\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "0805ba19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(0)\n",
    "x=np.random.rand(100)\n",
    "y=np.random.rand(100)\n",
    "color=np.random.rand(100)\n",
    "size=np.random.rand(10)\n",
    "plt.scatter(x,y,c=color,s=1000,alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d0f639c4",
   "metadata": {},
   "outputs": [],
   "source": [
    " "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "my_test",
   "language": "python",
   "name": "my_test"
  },
  "language_info": {
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